Hello everyone,
I have a time series dataset spannig from 1950 to 2018. I also have a dummy variable for these years. I am going to compare GDP per capita between 0 and 1 for these years condsidering the dummy variable. What kind of tests I must apply on my dataset (ADF, t-test etc.)? and I also have some control variables, what do you think if I use simple OLS regression? (the dependent variable would be GDP and independent variable would be the dummy variable and some control variables) My dataset looks like this:

Year GDP dummy Controls
1950; 25; 0
1951, 26; 0
1952; 28; 1
1953; 30; 1
..... .... ..

thanks in avance..